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Finding the Fourth Proportional to 312,988.32, 431,917.92 and 169,745.76

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Solution

The fourth proportional to 312,988.32, 431,917.92 and 169,745.76 is: 234,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,988.32 : 431,917.92 = 169,745.76 : x
  2. Step 2: Convert to fraction form
    312,988.32/431,917.92 = 169,745.76/x
  3. Step 3: Cross multiply
    312,988.32x = 431,917.92 × 169,745.76
  4. Step 4: Simplify right side
    312,988.32x = 73,316,235,588.02
  5. Step 5: Solve for x
    x = 73,316,235,588.02/312,988.32
  6. Step 6: Final answer
    x = 234,245.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.